LCM of 561, 214, 308, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 214, 308, 704 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 561, 214, 308, 704. So, keep reading to learn more.
Given numbers are 561,214,308,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,214,308,704 is 26892096.
Find LCM of 561,214,308,704 with Prime Factorization
| 2 | 561, 214, 308, 704 |
| 2 | 561, 107, 154, 352 |
| 11 | 561, 107, 77, 176 |
| 51, 107, 7, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 51 x 107 x 7 x 16 = 26892096
Therefore, the lowest common multiple of 561,214,308,704 is 26892096.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
561 x 214 x 308 x 704 = 26031548928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
561 : 1, 3, 11, 17, 33, 51, 187, 561
214 : 1, 2, 107, 214
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,214,308,704, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
214:2x 107
308:2x 2x 7x 11
704:2x 2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 11 = 968
Therefore, the value for common factors is 968.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 26031548928/(1x968)
LCM = 26031548928/968
LCM = 26892096
Thus, we can understand that the LCM of 561,214,308,704 is 26892096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 214, 308, 704
1. What is the LCM of 561, 214, 308, 704?
Answer: LCM of 561, 214, 308, 704 is 26892096.
2. How to calculate the LCM of 561, 214, 308, 704?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 561, 214, 308, 704.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.